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A symmetric dissipative two-state system is asymptotically completely delocalized independent of the initial state. We show that driving-induced localization at long times can take place when both the bias and tunneling coupling energy are…

Statistical Mechanics · Physics 2009-10-31 Holger Adam , Manfred Winterstetter , Milena Grifoni , Ulrich Weiss

We present an analytical framework for stabilizing second-order correlated tunneling of two spin-orbit-coupled bosons in a periodically driven non-Hermitian double-well potential. By combining Floquet theory with multiple-scale asymptotic…

Quantum Physics · Physics 2026-03-27 Miaoqian Lu , Xinzhou Guan , Mohan Xia , Wenjuan Li , Jincheng Hu , Xinyue Zhang , Yunrong Luo

In the spectrum of systems showing chaos-assisted tunneling, three-state crossings are formed when a chaotic singlet intersects a tunnel doublet. We study the dissipative quantum dynamics in the vicinity of such crossings. A harmonically…

Quantum Physics · Physics 2009-10-31 Sigmund Kohler , Ralf Utermann , Peter Hanggi , Thomas Dittrich

We present a semiclassical study of a transport process, the tunneling, in the presence of a magnetic field and a dissipative environment. We have found that the problem can be mapped onto an effective one-dimensional one, and the tunneling…

Condensed Matter · Physics 2015-06-25 Ping Ao

The dynamics of two-level systems in an external periodic field are investigated in general. The necessary conditions of localization are obtained through analysing the time-evolving matrix. It is found that localization is possible if not…

Condensed Matter · Physics 2007-05-23 Hu Cheng , Mo-lin Ge , Jiushu Shao

We study the dissipative dynamics of a two-level system (TLS) exposed to strong ac driving. By combing Floquet theory with Van Vleck perturbation theory in the TLS tunneling matrix element, we diagonalize the time-dependent Hamiltonian and…

Quantum Physics · Physics 2010-02-24 Johannes Hausinger , Milena Grifoni

In this paper, we study how to apply a periodic driving field to control stable spin tunneling in a non-Hermitian spin-orbit coupled bosonic double-well system. By means of a high-frequency approximation, we obtain the analytical Floquet…

Quantum Physics · Physics 2020-07-31 Yunrong Luo , Xuemei Wang , Yuxin Luo , Zheng Zhou , Zhao-Yun Zeng , Xiaobing Luo

Dynamical tunnelling between symmetry-related stable modes is studied in the periodically driven pendulum. We present strong evidence that the tunnelling process is governed by nonlinear resonances that manifest within the regular…

Quantum Physics · Physics 2007-05-23 Amaury Mouchet , Christopher Eltschka , Peter Schlagheck

We study the stabilization of localized structures by discreteness in one-dimensional lattices of diffusively coupled nonlinear sites. We find that in an external driving field these structures may lose their stability by either relaxing to…

patt-sol · Physics 2007-05-23 Igor Mitkov , Konstantin Kladko , A. R. Bishop

We study the stabilization of coherent suppression of tunneling in a driven double-well system subject to random periodic $\delta-$function ``kicks''. We model dissipation due to this stochastic process as a phase diffusion process for an…

Quantum Physics · Physics 2009-11-06 J. Grondalski , P. M. Alsing , I. H. Deutsch

We study the interplay between coherent transport by tunneling and diffusive transport through classically chaotic phase-space regions, as it is reflected in the Floquet spectrum of the periodically driven quartic double well. The tunnel…

chao-dyn · Physics 2009-10-22 R. Utermann , T. Dittrich , P. Hanggi

Calculation of the Floquet quasi-energies of a system driven by a time-periodic field is an efficient way to understand its dynamics. In particular, the phenomenon of dynamical localization can be related to the presence of close approaches…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. E. Creffield

The features of topological physics can manifest in a variety of physical systems in distinct ways. Periodically driven systems, with the advantage of high flexibility and controllability, provide a versatile platform to simulate many…

Quantum Physics · Physics 2022-05-06 Qianqian Chen , Haibin Liu , Min Yu , Shaoliang Zhang , Jianming Cai

Applying a technique developed recently [1,2] for an harmonic oscillator coupled to a bath of harmonic oscillators, we present an exact solution for the tunneling problem in an Ohmic dissipative system with inverted harmonic potential. The…

High Energy Physics - Theory · Physics 2008-02-03 Li Hua Yu

Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially…

Quantum Physics · Physics 2021-10-01 Guoqing Wang , Changhao Li , Paola Cappellaro

We study if the interplay between dynamical localization and interactions in periodically driven quantum systems can give rise to anomalous thermalization behavior. Specifically, we consider one-dimensional models with interacting spinless…

Statistical Mechanics · Physics 2024-01-08 Sreemayee Aditya , Diptiman Sen

Localized phenomena abound in nature and throughout the physical sciences. Some universal mechanisms for localization have been characterized, such as in the snaking bifurcations of localized steady states in pattern-forming partial…

Pattern Formation and Solitons · Physics 2024-02-20 Zachary G. Nicolaou , Jason J. Bramburger

Metastability of a particle trapped in a well with a time-periodically oscillating barrier is studied in the Floquet formalism. It is shown that the oscillating barrier causes the system to decay faster in general. However, avoided…

Quantum Physics · Physics 2009-11-10 Choon-Lin Ho , Chung-Chieh Lee

The fate of many-body localization in long-range interacting systems is not fully settled. For instance, the phase boundary between ergodic and many-body localized regimes is still under debate. Here, we use Floquet dynamics which can…

Quantum Physics · Physics 2023-02-14 Rozhin Yousefjani , Sougato Bose , Abolfazl Bayat

Chaotic tunneling in a driven double-well system is investigated in absence as well as in the presence of dissipation. As the constitutive mechanism of chaos-assisted tunneling, we focus on the dynamics in the vicinity of three-level…

Condensed Matter · Physics 2022-09-21 Peter Hanggi , Sigmund Kohler , Thomas Dittrich
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